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APAL
1999
120views more  APAL 1999»
13 years 4 months ago
Bounded Arithmetic, Proof Complexity and Two Papers of Parikh
This article surveys R. Parikh's work on feasibility, bounded arithmetic and the complexity of proofs. We discuss in depth two of Parikh's papers on these subjects and s...
Samuel R. Buss
APAL
1999
90views more  APAL 1999»
13 years 4 months ago
On Distinguishing Quotients of Symmetric Groups
A study is carried out of the elementary theory of quotients of symmetric groups in a similar spirit to [10]. Apart from the trivial and alternating subgroups, the normal subgroup...
Saharon Shelah, J. K. Truss
APAL
1999
68views more  APAL 1999»
13 years 4 months ago
Toward Categoricity for Classes with no Maximal Models
We provide here the first steps toward a Classification Theory of Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categori...
Saharon Shelah, Andrés Villaveces
APAL
2005
115views more  APAL 2005»
13 years 4 months ago
Completeness of S4 with respect to the real line: revisited
We prove that S4 is complete with respect to Boolean combinations of countable unions of convex subsets of the real line, thus strengthening a 1944 result of McKinsey and Tarski (...
Guram Bezhanishvili, Mai Gehrke
APAL
1999
72views more  APAL 1999»
13 years 4 months ago
Lattices of Modal Logics and Their Groups of Automorphisms
The present paper investigates the groups of automorphisms for some lattices of modal logics. The main results are the following. The lattice of normal extensions of S4.3, NExt S4....
Marcus Kracht